13689135613440
13,689,135,613,440 is an even composite number composed of seven prime numbers multiplied together.
13689135613440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13689135613440:
29 × 34 × 5 × 72 × 19 × 23 × 3083
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 23 × 3083)See below for interesting mathematical facts about the number 13689135613440 from the Numbermatics database.
Names of 13689135613440
- Cardinal: 13689135613440 can be written as Thirteen trillion, six hundred eighty-nine billion, one hundred thirty-five million, six hundred thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.368913561344 × 1013
Factors of 13689135613440
Divisors of 13689135613440
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 27 28 30 32 35 36 38 40 42 45 46 48 49 54 56 57 60 63 64 69 70 72 76 80 81 84 90 92 95 96 98 105 108 112 114 115 120 126 128 133 135 138 140 144 147 152 160 161 162 168 171 180 184 189 190 192 196 207 210 216 224 228 230 240 245 252 256 266 270 276 280 285 288 294 304 315 320 322 324 336 342 345 360 368 378 380 384 392 399 405 414 420 432 437 441 448 456 460 480 483 490 504 512 513 532 540 552 560 567 570 576 588 608 621 630 640 644 648 665 672 684 690 720 735 736 756 760 768 784 798 805 810 828 840 855 864 874 882 896 912 920 931 945 960 966 980 1008 1026 1035 1064 1080 1104 1120 1127 1134 1140 1152 1176 1197 1216 1242 1260 1280 1288 1296 1311 1323 1330 1344 1368 1380 1440 1449 1470 1472 1512 1520 1536 1539 1568 1596 1610 1620 1656 1680 1710 1728 1748 1764 1792 1824 1840 1862 1863 1890 1920 1932 1960 1995 2016 2052 2070 2128 2160 2185 2205 2208 2240 2254 2268 2280 2304 2352 2394 2415 2432 2484 2520 2560 2565 2576 2592 2622 2646 2660 2688 2736 2760 2793 2835 2880 2898 2940 2944 3024 3040 3059 3078 3083 3105 3136 3192 3220 3240 3312 3360 3381 3420 3456 3496 3528 3584 3591 3648 3680 3724 3726 3780 3840 3864 3920 3933 3969 3990 4032 4104 4140 4256 4320 4347 4370 4410 4416 4480 4508 4536 4560 4608 4655 4704 4788 4830 4864 4968 5040 5130 5152 5184 5244 5292 5320 5376 5472 5520 5586 5635 5670 5760 5796 5880 5888 5985 6048 6080 6118 6156 6166 6210 6272 6384 6440 6480 6555 6615 6624 6720 6762 6840 6912 6992 7056 7182 7245 7296 7360 7448 7452 7560 7680 7695 7728 7840 7866 7938 7980 8064 8208 8280 8379 8512 8640 8694 8740 8820 8832 8960 9016 9072 9120 9177 9249 9310 9315 9408 9576 9660 9728 9936 10080 10143 10260 10304 10368 10488 10584 10640 10752 10773 10944 11040 11172 11270 11340 11520 11592 11760 11776 11799 11970 12096 12160 12236 12312 12332 12420 12544 12768 12880 12960 13041 13110 13230 13248 13440 13524 13680 13824 13965 13984 14112 14364 14490 14592 14720 14896 14904 15120 15295 15390 15415 15456 15680 15732 15876 15960 16128 16416 16560 16758 16905 17024 17280 17388 17480 17640 17664 17920 17955 18032 18144 18240 18354 18498 18620 18630 18816 19152 19320 19665 19845 19872 20160 20286 20520 20608 20736 20976 21168 21280 21413 21546 21581 21735 21888 22080 22344 22540 22680 23040 23184 23520 23598 23940 24192 24320 24472 24624 24664 24840 25088 25137 25536 25760 25920 26082 26220 26460 26496 26880 27048 27360 27531 27747 27930 27968 28224 28728 28980 29184 29440 29792 29808 30240 30429 30590 30780 30830 30912 31360 31464 31752 31920 32256 32832 33120 33516 33810 34048 34560 34776 34960 35280 35328 35397 35910 36064 36288 36480 36708 36996 37240 37260 37632 38304 38640 39330 39690 39744 40320 40572 41040 41216 41472 41895 41952 42336 42560 42826 43092 43162 43470 43776 44160 44688 45080 45360 45885 46245 46368 47040 47196 47880 48384 48640 48944 49248 49328 49680 50274 50715 51072 51520 51840 52164 52440 52920 52992 53760 53865 54096 54720 55062 55494 55860 55936 56448 57456 57960 58577 58880 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643286448 646690080 652609440 660162790 664263180 667111872 674807040 679024584 688865520 689802752 696116736 708547392 714762720 727526340 734789888 735184512 740033280 745839360 750500856 754471760 759157920 762413568 763902657 774973710 776028096 783131328 787274880 792195348 804108060 809768448 816871680 826638624 833889840 848780730 857715264 862253440 870145920 873031608 885684240 888039936 889482496 895007232 905366112 918487360 918980640 929968452 938126070 944729856 953016960 970035120 978914160 980246016 990244185 1000667808 1012210560 1018536876 1033298280 1034704128 1044175104 1049699840 1056260464 1062821088 1072144080 1091289510 1102184832 1110049920 1111853120 1118759040 1125751284 1131707640 1143620352 1160194560 1162460565 1164042144 1180912320 1188293022 1207154816 1214652672 1225307520 1239957936 1250834760 1270689280 1273171095 1286572896 1293380160 1305218880 1320325580 1328526360 1334223744 1349614080 1358049168 1377731040 1407189105 1417094784 1429525440 1455052680 1469579776 1470369024 1480066560 1491678720 1501001712 1508943520 1518315840 1527805314 1549947420 1552056192 1566262656 1574549760 1584390696 1608216120 1633743360 1653277248 1667779680 1697561460 1715430528 1724506880 1740291840 1746063216 1771368480 1778964992 1782439533 1810732224 1836974720 1837961280 1859936904 1876252140 1889459712 1906033920 1940070240 1957828320 1980488370 2001335616 2024421120 2037073752 2066596560 2069408256 2088350208 2112520928 2125642176 2144288160 2182579020 2204369664 2220099840 2223706240 2237518080 2251502568 2263415280 2287240704 2324921130 2328084288 2361824640 2376586044 2414309632 2429305344 2450615040 2479915872 2501669520 2546342190 2573145792 2586760320 2610437760 2640651160 2657052720 2668447488 2716098336 2755462080 2814378210 2834189568 2859050880 2910105360 2940738048 2970732555 3002003424 3017887040 3036631680 3055610628 3099894840 3104112384 3132525312 3149099520 3168781392 3216432240 3306554496 3335559360 3395122920 3430861056 3449013760 3480583680 3492126432 3542736960 3564879066 3621464448 3673949440 3675922560 3719873808 3752504280 3812067840 3819513285 3880140480 3915656640 3960976740 4002671232 4048842240 4074147504 4133193120 4225041856 4251284352 4288576320 4365158040 4408739328 4440199680 4447412480 4475036160 4503005136 4526830560 4649842260 4656168576 4723649280 4753172088 4828619264 4901230080 4959831744 5003339040 5092684380 5146291584 5173520640 5220875520 5281302320 5314105440 5336894976 5347318599 5432196672 5510924160 5628756420 5668379136 5718101760 5820210720 5941465110 6004006848 6035774080 6073263360 6111221256 6199789680 6208224768 6265050624 6337562784 6432864480 6613108992 6671118720 6790245840 6861722112 6984252864 7085473920 7129758132 7242928896 7347898880 7351845120 7439747616 7505008560 7639026570 7760280960 7831313280 7921953480 8005342464 8148295008 8266386240 8450083712 8502568704 8577152640 8730316080 8894824960 8912197665 9006010272 9053661120 9299684520 9312337152 9447298560 9506344176 9919663488 10006678080 10185368760 10292583168 10347041280 10441751040 10562604640 10628210880 10694637198 10864393344 11021848320 11257512840 11436203520 11640421440 11882930220 12008013696 12071548160 12146526720 12222442512 12399579360 12675125568 12865728960 13226217984 13342237440 13580491680 13968505728 14170947840 14259516264 14485857792 14703690240 14879495232 15010017120 15278053140 15520561920 15662626560 15843906960 16010684928 16296590016 16532772480 16900167424 17005137408 17154305280 17460632160 17824395330 18012020544 18107322240 18599369040 18624674304 19012688352 19839326976 20013356160 20370737520 20585166336 21125209280 21256421760 21389274396 21728786688 22043696640 22515025680 23280842880 23765860440 24016027392 24143096320 24444885024 24799158720 25350251136 25731457920 26684474880 26736592995 27160983360 27937011456 28341895680 28519032528 29758990464 30020034240 30556106280 31041123840 31325253120 31687813920 32593180032 33065544960 33800334848 34308610560 34921264320 35648790660 36024041088 36214644480 37198738080 38025376704 39678653952 40026712320 40741475040 42250418560 42512843520 42778548792 43457573376 45030051360 46561685760 47531720880 48032054784 48889770048 49598317440 50700502272 51462915840 53473185990 54321966720 55874022912 57038065056 59517980928 60040068480 61112212560 63375627840 65186360064 66131089920 69842528640 71297581320 72048082176 72429288960 74397476160 76050753408 80053424640 81482950080 84500837120 85025687040 85557097584 90060102720 93123371520 95063441760 97779540096 99196634880 101401004544 102925831680 106946371980 108643933440 114076130112 119035961856 120080136960 122224425120 126751255680 130372720128 139685057280 142595162640 144096164352 148794952320 152101506816 162965900160 169001674240 171114195168 180120205440 190126883520 195559080192 198393269760 213892743960 217287866880 228152260224 240160273920 244448850240 253502511360 279370114560 285190325280 297589904640 304203013632 325931800320 342228390336 360240410880 380253767040 391118160384 427785487920 456304520448 488897700480 507005022720 570380650560 595179809280 651863600640 684456780672 720480821760 760507534080 855570975840 912609040896 977795400960 1140761301120 1368913561344 1521015068160 1711141951680 1955590801920 2281522602240 2737827122688 3422283903360 4563045204480 6844567806720 13689135613440
- Sum of all divisors σ(n): 62667550091520
- Sum of proper divisors (its aliquot sum) s(n): 48978414478080
- 13689135613440 is an abundant number, because the sum of its proper divisors (48978414478080) is greater than itself. Its abundance is 35289278864640
Bases of 13689135613440
- Binary: 110001110011010000000001000011000110000000002
- Hexadecimal: 0xC734010C600
- Base-36: 4UOP9WG00
Squares and roots of 13689135613440
- 13689135613440 squared (136891356134402) is 187392433843151325108633600
- 13689135613440 cubed (136891356134403) is 2565240439811481931583723890576195584000
-
The
square root of 13689135613440 is 3699883.1891615173 -
The
cube root of 13689135613440 is 23921.6982929355
Scales and comparisons
How big is 13689135613440?- 13,689,135,613,440 seconds is equal to 435,272 years, 8 weeks, 5 days, 14 hours, 24 minutes.
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To count from 1 to 13,689,135,613,440 would take you about one million, eighty-eight thousand, one hundred eighty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13689135613440 cubic inches would be around 1993.5 feet tall.
Recreational maths with 13689135613440
- 13689135613440 backwards is 04431653198631
- 13689135613440 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13689135613440's digits is 54
- More coming soon!
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The information we have on file for 13689135613440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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